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3468565710848 = 2117759131873
BaseRepresentation
bin110010011110010110101…
…000001000100000000000
3110021120222022022122111002
4302132112220020200000
5423312110310221343
611213234224511132
7505411202040530
oct62362650104000
913246868278432
103468565710848
111118012a11507
1248029377b4a8
131c21133bca84
14bdc453d54c0
156035a8838b8
hex32796a08800

3468565710848 has 96 divisors (see below), whose sum is σ = 7927507486080. Its totient is φ = 1486285701120.

The previous prime is 3468565710847. The next prime is 3468565710917. The reversal of 3468565710848 is 8480175658643.

It is not an unprimeable number, because it can be changed into a prime (3468565710847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108808640 + ... + 108840512.

It is an arithmetic number, because the mean of its divisors is an integer number (82578202980).

Almost surely, 23468565710848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3468565710848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963753743040).

3468565710848 is an abundant number, since it is smaller than the sum of its proper divisors (4458941775232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3468565710848 is an equidigital number, since it uses as much as digits as its factorization.

3468565710848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39493 (or 39473 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 65.

The spelling of 3468565710848 in words is "three trillion, four hundred sixty-eight billion, five hundred sixty-five million, seven hundred ten thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 7168 7591 14336 15182 30364 31873 53137 60728 63746 106274 121456 127492 212548 223111 242912 254984 425096 446222 485824 509968 850192 892444 971648 1019936 1700384 1784888 1943296 2039872 3400768 3569776 3886592 4079744 6801536 7139552 7773184 8159488 13603072 14279104 15546368 16318976 27206144 28558208 32637952 54412288 57116416 65275904 108824576 114232832 228465664 241947943 456931328 483895886 967791772 1693635601 1935583544 3387271202 3871167088 6774542404 7742334176 13549084808 15484668352 27098169616 30969336704 54196339232 61938673408 108392678464 123877346816 216785356928 247754693632 433570713856 495509387264 867141427712 1734282855424 3468565710848